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2003201400 = 2335231107699
BaseRepresentation
bin111011101100110…
…0110110101111000
312011121101011201110
41313121212311320
513100304421100
6530435320320
7100432634214
oct16731466570
95147334643
102003201400
11938833952
1247aa500a0
1325c028595
1415008d944
15bace6250
hex77666d78

2003201400 has 96 divisors (see below), whose sum is σ = 6410304000. Its totient is φ = 516950400.

The previous prime is 2003201393. The next prime is 2003201401. The reversal of 2003201400 is 41023002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35250 + ... + 72449.

It is an arithmetic number, because the mean of its divisors is an integer number (66774000).

Almost surely, 22003201400 is an apocalyptic number.

2003201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003201400 is an abundant number, since it is smaller than the sum of its proper divisors (4407102600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2003201400 is a wasteful number, since it uses less digits than its factorization.

2003201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107749 (or 107740 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2003201400 is about 44757.1379782041. The cubic root of 2003201400 is about 1260.5929433972.

Adding to 2003201400 its reverse (41023002), we get a palindrome (2044224402).

The spelling of 2003201400 in words is "two billion, three million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 107699 215398 323097 430796 538495 646194 861592 1076990 1292388 1615485 2153980 2584776 2692475 3230970 3338669 4307960 5384950 6461940 6677338 8077425 10016007 10769900 12923880 13354676 16154850 16693345 20032014 21539800 26709352 32309700 33386690 40064028 50080035 64619400 66773380 80128056 83466725 100160070 133546760 166933450 200320140 250400175 333866900 400640280 500800350 667733800 1001600700 2003201400